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In the Bohr's orbit, what is the ratio o...

In the Bohr's orbit, what is the ratio of total kinetic energy and the total energy of the electron?

A

`-1`

B

`-2`

C

`+1`

D

`+2`

Text Solution

Verified by Experts

The correct Answer is:
A
Kinetic energy `= 1/2mv^(2)`
Potential energy `= -(Ze^(2))/r`
But electrostatic force, `(Ze^(2))/(r^(2))=(mv^(2))/r` (centrifugal force)
`therefore` Potential energy `=-mv^(2)`
Total energy `= 1/2mv^(2)-mv^(2)=-1/2mv^(2)`
`therefore` Kinetic energy/total energy `= -1`.
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